|
Search: id:A115991
|
|
|
| A115991 |
|
Number triangle T(n,k)=sum{j=0..n, C(n-k,j-k)C(j,n-j)*2^(n-j)}. |
|
+0
1
|
|
| 1, 1, 1, 5, 3, 1, 13, 9, 5, 1, 49, 31, 17, 7, 1, 161, 105, 61, 29, 9, 1, 581, 371, 217, 111, 45, 11, 1, 2045, 1313, 781, 417, 189, 65, 13, 1, 7393, 4719, 2825, 1551, 753, 303, 89, 15, 1, 26689, 17041, 10277, 5757, 2921, 1289, 461, 117, 17, 1, 97285, 61987, 37553, 21351
(list; table; graph; listen)
|
|
|
OFFSET
|
0,4
|
|
|
COMMENT
|
First column is A084601 with e.g.f. exp(x) Bessel_I(0,2sqrt(2)x). Row sums are A098518(n+1) with e.g.f. dif(exp(x) Bessel_I(1,2sqrt(2)x)/sqrt(2)).
|
|
EXAMPLE
|
Triangle begins
1,
1, 1,
5, 3, 1,
13, 9, 5, 1,
49, 31, 17, 7, 1,
161, 105, 61, 29, 9, 1,
581, 371, 217, 111, 45, 11, 1
|
|
CROSSREFS
|
Adjacent sequences: A115988 A115989 A115990 this_sequence A115992 A115993 A115994
Sequence in context: A011363 A021192 A074396 this_sequence A143410 A114344 A088324
|
|
KEYWORD
|
easy,nonn,tabl
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Feb 10 2006
|
|
|
Search completed in 0.002 seconds
|
